COURSE OVERVIEW

(Grade 6-8) 

The AMC 8 is a contest for students in grades 8 and below, hosted annually by the American Mathematics Competitions (AMC) to students all over the United States. 

The AMC 8 exam is a 25 problem exam. There are 40 minutes given in the exam. Problems increase in difficulty as the problem number increases.The AMC 8 is usually administered in the third week of January. There is a 1-week window for students to take the test. 

Contents 

  • Intro: people intro, course run through, benchmark walkthrough (4 problems – algebra, number theory, counting/probability, geometry) 
  • Algebra 1: Operations and statistics 
  • Addition, subtraction, multiplication, exp, division 
  • Statistics: mean, min, max, median, mode, range 
  • Special operations 
  • Algebra 2: Variables and equations 
  • Single variable linear equations 
  • Multivariable linear equations 
  • Manipulation techniques – Substitution, elimination, … 
  • Simple nonlinear equations 
  • Algebra 3: Graphing and functions  
  • Functions and graphing functions: slope, intercept  
  • Special functions: exp, factorial, square roots 
  • Algebra 4: Word Problems 
  • Rate 
  • Ratio, proportion, percentage 
  • Calendar (time) 
  • Algebra 5: Graphs/Tables Interpretation 
  • Algebra 6: Sequences and Series:  
  • Arithmetic 
  • Geometric 
  • General sequences and series 
  • Number Theory 1 
  • Integers 
  • Basic concepts 
  • Primes 
  • Factorization 
  • GCD LCM 
  • Number Theory 2 
  • Modular Arithmetic  
  • Introduction 
  • Divisibility 
  • Units digit 
  • Divisibility rules 
  • Counting 
  • Addition, multiplication 
  • Venn diagram 
  • Permutation and combination 
  • Probability and advanced counting 
  • Probability concept 
  • Advanced counting 
  • Casework, complimentary 
  • Geometry 1 
  • Angles 
  • Intro, parallel lines, perpendicular lines, angle chasing 
  • Triangles basic ideas 
  • Introduction to triangles related to angles 
  • Geometry 2 
  • Advanced triangles: area, similarity, pythagorean theorem 
  • Polygons: quadrilaterals, square, parallelogram 
  • Geometry 3 
  • Circles: areas, circumference, chords 
  • More advanced topics 
  • Logic, miscellaneous, and problem solving 
  • Problem solving strategies 
  • Miscellaneous problems 
  • Will get to if finished the main curriculum 
  • Problem solving – AMC 8 mock test & Review 
  • Algebra 4: factorization, quadratics & polynomials 
  • Factorization, quadratic formula, Vieta’s formulas 
  • Introduction to polynomials 

Syllabus:https://school.thinkland.ai/syllabus/ 

Curriculum:https://school.thinkland.ai/curriculum.pdf